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Optimal base frequency estimation of an electrical signal based on Prony’s estimator and a FIR filter

Michał Lewandowski and Janusz Walczak

Applied Mathematics and Computation, 2018, vol. 319, issue C, 551-561

Abstract: In the frequency domain modeling of power supplying networks, it is usually necessary to determine the frequency spectrum of the currents flowing through the nonlinear devices (Arrillaga and Watson, 2003; Das, 2015; Lewandowski and Walczak, 2014). The spectrum estimation can be done in many different ways (Lewandowski and Walczak, 2014; Łobos and Rezmer, 1997; Ray et al., 2016). In work (Lewandowski and Walczak, 2014) a spectrum estimation method has been proposed, which has better accuracy in comparison with other competitive methods like WIFTA (Window Interpolated Fourier Transform) or TDQS (Time Domain Quasi-Synchronous Sampling), while maintaining a low demand for computing power. The accuracy of this method depends on two main factors: the accuracy of the fundamental frequency estimation and the accuracy of the signal interpolation in the resampling process. For the estimation of the fundamental frequency, the method uses a first order Prony’s estimator (Łobos and Rezmer, 1997) and a band-pass FIR (Finite Impulse Response) filter.

Keywords: Power system; Frequency estimation; Optimization; Prony’s estimator; FIR filters (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:319:y:2018:i:c:p:551-561

DOI: 10.1016/j.amc.2017.06.004

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